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Three-pronged convection in a cubic cavity under modulating gravity

机译：重力作用下立方腔中的三管对流

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摘要

Three-dimensional thermal convection in a cubic cavity heated from one wall and chilled from its opposite wall in the terrestrial-gravity and zero-gravity fields with and without a sinusoidal modulation is investigated numerically. The gravity and its modulation are parallel to the temperature gradient. An incompressible fluid with Prandtl number Pr= 7.1 (water) is considered and hence the Boussinesq approximation is used. The gravity-modulation parameters are a vibrational Rayleigh number Ra-eta and a non-dimentional gravity-modulation frequency omega. Here the authors report a novel 'trident' flow structure in laminar and steady thermal convection, which consists of a point-symmetric pair of three-pronged flows, namely, three ascending streams and three descending streams in the cube. This flow structure is stable and persistent in the sense that it is observed in all three situations: a stationary cube under the terrestrial gravity, an oscillating cube under the terrestrial gravity, and an oscillating cube under zero gravity. A POD analysis confirmed this observation. Tested parameters are Rayleigh number Ra = 8.0 x 10(4) in the terrestrial-gravity field without the gravity modulation or Ra = 1.0 x 10(4) ; and the gravity modulation in the terrestrial-gravity field Ra-eta = 1.0 x 10(5) and omega = 5.0 in the terrestrial-gravity field and Ra-eta = 1.1 x 10(5) and omega = 5.0 in the zero-gravity field. (C) 2019 Elsevier Ltd. All rights reserved.
机译：在一个有正弦调制和没有正弦调制的地面重力和零重力场中，对从一个壁加热并从其相对壁冷却的立方腔中的三维热对流进行了数值研究。重力及其调制与温度梯度平行。考虑了具有Prandtl数Pr = 7.1（水）的不可压缩流体，因此使用了Boussinesq近似。重力调制参数是振动瑞利数Ra-eta和无维重力调制频率ω。在这里，作者报告了层流和稳态热对流中一种新颖的“三叉戟”流动结构，该结构由点对称的三叉流组成，即三叉流中的三个上升流和三个下降流。从在所有三种情况下都可以观察到的意义上说，这种流动结构是稳定且持久的：在地面重力下为静止的立方体，在地面重力下为振荡的立方体和在零重力下为振荡的立方体。 POD分析证实了这一发现。测试参数为在没有重力调制的地面重力场中的瑞利数Ra = 8.0 x 10（4）或Ra = 1.0 x 10（4）；在地面重力场中的重力调制Ra-eta = 1.0 x 10（5）和omega = 5.0在地面重力场中，而Ra-eta = 1.1 x 10（5）和omega = 5.0在零重力中领域。 （C）2019 Elsevier Ltd.保留所有权利。

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